Question

Trigonometric behaviors- Tangents:

Answer 1

where's the tangent??

Answer 2

What do you mean? Cant you access the link above?

Answer 3

Ok. So for question 1, I have some of the properties of the function.

Answer 4

I have trouble looking for the other properties.

Answer 5

One sec, Before you continue with the rest of the properties, Are all the properties I mentioned correct? Im not 100% sure

Answer 6

For the domain, and for the zeroes, I round it off the values, So im not sure if thats correct. Are all the properties I mentioned correct?

Answer 7

Y intercept: 3

Answer 8

what are zeros??

Answer 9

x = …, -2, 0, 2, 4, …

Answer 10

There infinite number of zeroes. Thats why I stated it this way

Answer 11

Vertical Asymptotes: x = pi/6, -pi/6

Answer 12

Is this domain correct?
.
Domain: {x | x ≠ …, -2, 0, 2, 4, …, x is an element of R.}

Answer 13

not really sure ... about that.

Answer 14

@TuringTest can you help here??

Answer 15

@mertsj, are the properties I provided correct?

Answer 16

@guys, are the properties I gave correct?

Answer 17

I round it off the values when stating the domain, and the values of the zeroes.

Answer 18

why can't x = 2?

Answer 19

What do you mean? In the zeroes?

Answer 20

Oh in my domain.

Answer 21

No. You excluded 2 from the domain, meaning, I assume that the function is undefined for x = 2

Answer 22

On second, Let me revise this for a sec. I did this yesterday night

Answer 23

No the domains, are not the same as the zeroes

Answer 24

I did it wrong I believe

Answer 25

When stating the domain it would be this: Domain: {x | x ≠ …, -1, 1, 3, 5, …, x is an element of R.}

Answer 26

The tangent is the sin/cos. So it will be undefined when the cosine of the angle is 0. Your argument is 3x+180. If the cosine of 3x+180 is 0, the the function is undefined and there will be vertical asymptotes at those x values. Furthermore, we know that the cosine of 90 degrees is 0 so we would like to know what x values give us an argument of 90. Because if the argument is 90, the cosine is 0 and the tangent is undefined.

Answer 27

So what would my domain be for this?
Im trying to answer similarly to how its answered in my book and Im not getting anywhere with this

Answer 28

Well it seems to me, if 3x+180=90 then 3x=-90 and x = -30. so if x = -30, then the 3x+180=90 and the cosine is 0 so the function is undefined. What is the period of this function?

Answer 29

Isnt it 1.1?

Answer 30

Or 1

Answer 31

The coefficient of x is 3 so why wouldn't the period by 180/3 or 60 degrees?

Answer 32

So I would say that the domain is all real numbers except -30 degrees +60n

Answer 33

Did you graph this with a graphing calculator or on wolf?

Answer 34

we cant use wolf in my class, we have to use the t1-83+

Answer 35

Do you have a computer? Is your instructor standing over your shoulder? Why can't you use wolf to help you understand? You used Wolf on the previous problem because you asked why is wolf getting....

Answer 36

Thing is, I can get all the answer off the web, fairly easily But If I cant explain it fully, then Im in trouble. In my school, plagiarism is extremely strict and if they think I am not donig everything by hand, I can get taken of the course instantly.

Answer 37

That is why, I dont ask for the answers. I solve problems firts and ask when Im not sure or Im stuck somewhere

Answer 38

Well but, if you understand the problem, then you can show all your work and it will be yours. So use wolf and other resources to help you understand.

Answer 39

For example, if you had looked at a graph of this function, where you had degrees on the x axis, you would have immediately seen that it is undefined at -30 and every 60 degrees left and right of that.

Answer 40

Then you could have explored the question of why is it undefined at those values.

Answer 41

How can I make a graph show the x-axis in degrees?

Answer 42

Use the settings function and select degrees.

Answer 43

Mine just show numbers and makes it awhole lot complicated to understand and answer

Answer 44

There are many online calculators that are free.

Answer 45

which one do you use that can show the graph in dergees?

Answer 46

I have an app on my ipad. But I will find one for you.

Answer 47

I would really appreciate that. Ive been trying to find one, I jsut cant

Answer 48

www.educational-freeware.com

Answer 49

Where is the calculator in there?

Answer 50

At the upper right it has a search box. Type in calculator and then the first item in the list is Graphing calculator 3D-An Amazing Free Calculator

Answer 51

If you just do a google search for free graphing calculator, you can even get TI freebies.

Answer 52

@experimentx, why is the y = 3?

Answer 53

I mean the y-intercept, how did you get 3?

Answer 54

isnt it 0.3?

Answer 55

By replacing x with 0. that is the way you always find the y intercept because on the y axis, x = 0

Answer 56

I know, but I got this instead:

http://www.wolframalpha.com/input/?i=y+%3D+-2tan%283*0+%2B+180%29+%2B+3

Answer 57

O rhousld I have inputted the general form of the function?

Answer 58

you should put pi instead of 180

Answer 59

Oh ok, I see where I went wrong, I didnt put it in the genral form. now I got it

Answer 60

http://www.wolframalpha.com/input/?i=y+%3D+-2tan%283%280-%28-pi%2F3%29%29%29+%2B+3